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Finding the Fourth Proportional to 24,285.96, 33,514.74 and 13,675.77

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Solution

The fourth proportional to 24,285.96, 33,514.74 and 13,675.77 is: 18,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285.96 : 33,514.74 = 13,675.77 : x
  2. Step 2: Convert to fraction form
    24,285.96/33,514.74 = 13,675.77/x
  3. Step 3: Cross multiply
    24,285.96x = 33,514.74 × 13,675.77
  4. Step 4: Simplify right side
    24,285.96x = 458,339,875.85
  5. Step 5: Solve for x
    x = 458,339,875.85/24,285.96
  6. Step 6: Final answer
    x = 18,872.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.